{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:4FGJMAAKPQIIBMMFJBCJHO3ROR","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"ec87e82f07a9c4f9821c651d4b117e649dca1904e25fbf0fe974cddfcc62a0c2","cross_cats_sorted":["cs.GT","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2013-02-12T00:14:44Z","title_canon_sha256":"f0c595f7bd5698d626bd464c1e3b980551fb6164877ece41bc0f0cd6ca821147"},"schema_version":"1.0","source":{"id":"1302.2672","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.2672","created_at":"2026-05-18T03:33:51Z"},{"alias_kind":"arxiv_version","alias_value":"1302.2672v1","created_at":"2026-05-18T03:33:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.2672","created_at":"2026-05-18T03:33:51Z"},{"alias_kind":"pith_short_12","alias_value":"4FGJMAAKPQII","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"4FGJMAAKPQIIBMMF","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"4FGJMAAK","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:2006284c931629f9b1dd4ad1868d71133292a6935d60a4b3071ebaa5d46bff85","target":"graph","created_at":"2026-05-18T03:33:51Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study the problem of online learning with a notion of regret defined with respect to a set of strategies. We develop tools for analyzing the minimax rates and for deriving regret-minimization algorithms in this scenario. While the standard methods for minimizing the usual notion of regret fail, through our analysis we demonstrate existence of regret-minimization methods that compete with such sets of strategies as: autoregressive algorithms, strategies based on statistical models, regularized least squares, and follow the regularized leader strategies. In several cases we also derive effici","authors_text":"Alexander Rakhlin, Karthik Sridharan, Wei Han","cross_cats":["cs.GT","cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2013-02-12T00:14:44Z","title":"Competing With Strategies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.2672","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:674d4fe336280e24a23e9359fe223c2a94447eee33c20ef39cf6b097c33e44cc","target":"record","created_at":"2026-05-18T03:33:51Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"ec87e82f07a9c4f9821c651d4b117e649dca1904e25fbf0fe974cddfcc62a0c2","cross_cats_sorted":["cs.GT","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2013-02-12T00:14:44Z","title_canon_sha256":"f0c595f7bd5698d626bd464c1e3b980551fb6164877ece41bc0f0cd6ca821147"},"schema_version":"1.0","source":{"id":"1302.2672","kind":"arxiv","version":1}},"canonical_sha256":"e14c96000a7c1080b185484493bb717474d8677ecb50b66aa59f858bf6fea593","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e14c96000a7c1080b185484493bb717474d8677ecb50b66aa59f858bf6fea593","first_computed_at":"2026-05-18T03:33:51.233295Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:33:51.233295Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qi6Wj3SEflMqLpC52SwhwAZDtzfH7UVMGaHvpCzIpyt/gwwTa1T67UZrWhuL8S91At8lgnI4T53weoQSiaYPCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:33:51.234160Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.2672","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:674d4fe336280e24a23e9359fe223c2a94447eee33c20ef39cf6b097c33e44cc","sha256:2006284c931629f9b1dd4ad1868d71133292a6935d60a4b3071ebaa5d46bff85"],"state_sha256":"046629d733cf7ca55d517865ac6a89db1be8f2f79d8fe8432b88dc2638ffcb15"}